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Finding the Fourth Proportional to 433,692.98, 650,599.98 and 197,095.22

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Solution

The fourth proportional to 433,692.98, 650,599.98 and 197,095.22 is: 295,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,692.98 : 650,599.98 = 197,095.22 : x
  2. Step 2: Convert to fraction form
    433,692.98/650,599.98 = 197,095.22/x
  3. Step 3: Cross multiply
    433,692.98x = 650,599.98 × 197,095.22
  4. Step 4: Simplify right side
    433,692.98x = 128,230,146,190.10
  5. Step 5: Solve for x
    x = 128,230,146,190.10/433,692.98
  6. Step 6: Final answer
    x = 295,670.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.